Associohedra, Cyclohedra and Thompson's Group Seminar - Jon McCammond

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The first half of this talk is a gentle introduction to the families of polytopes known as Associahedra and Cyclohedra. The second half considers the infinite versions of these polytopes and their somewhat surprising connection with the infinite finite-presented simple group known as Thompson's group T. This connection is facilitated by the triangulation of the hyperbolic plane known as the Farey tesselation.